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arXiv · 2610.25579

Elliptic closed geodesics on non-negatively curved Finsler manifolds

Wei Wang
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Abstract

In this paper, we prove that if a compact simply-connected manifold $(M,F)$ with a bumpy irreversible Finsler metric $F$ whose flag curvature $K$ satisfies $K\ge 0$ and $H^*(M;\Q)\cong T_{d,n+1}(x)$ for some $d\in2\N$ and $n\in\N$ carries exactly $\frac{dn(n+1)}{2}$ (the number of closed geodesics in Katok's example) closed geodesics, then there are at least $2$ irrationally elliptic closed geodesics on $(M, F)$.

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Wei Wang. 2026-10-18. Elliptic closed geodesics on non-negatively curved Finsler manifolds. https://arxiv.org/abs/2610.25579

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